Submission #431287

# Submission time Handle Problem Language Result Execution time Memory
431287 2021-06-17T10:43:26 Z Kevin_Zhang_TW Making Friends on Joitter is Fun (JOI20_joitter2) C++17
100 / 100
2050 ms 126412 KB
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define pb emplace_back
#define AI(i) begin(i), end(i)
template<class T> bool chmin(T &a, T b) { return b < a && (a = b, true); }
template<class T> bool chmax(T &a, T b) { return a < b && (a = b, true); }
#ifdef KEV
#define DE(args...) kout("[ " + string(#args) + " ] = ", args)
void kout() { cerr << endl; }
template<class T, class ...U> void kout(T a, U ...b) { cerr << a << ' ', kout(b...); }
template<class T> void debug(T l, T r) { while (l != r) cerr << *l << " \n"[next(l)==r], ++l; }
#else
#define DE(...) 0
#define debug(...) 0
#endif
// My bug list :
// integer overflow
// 0based, 1based forgotten
// index out of bound
// n, m, i, j typo
// some cases are missing
 
const int MAX_N = 100010;
 
ll ans;
 
int n, m, g[MAX_N], sz[MAX_N], cost[MAX_N];
 
ll cntin[MAX_N];
 
map<int, set<pair<int,int>>> in[MAX_N], out[MAX_N];
 
void init() {
	iota(g, g+n+1, 0);
	fill(sz, sz + n + 1, 1);
}
 
int F(int i) { return i == g[i] ? i : g[i] = F(g[i]); }
 
void rm(int x, int u) {
	--cost[F(x)], --cost[F(u)];
	ans -= sz[ F(u) ];
	--cntin[ F(u) ];
	in[F(u)][F(x)].erase({x, u});
	out[F(x)][F(u)].erase({x, u});
}
void ad(int x, int u) {
	++cost[F(x)], ++cost[F(u)];
	ans += sz[ F(u) ];
	++cntin[ F(u) ];
	in[F(u)][F(x)].insert({x, u});
	out[F(x)][F(u)].insert({x, u});
}
 
bool mcnt(set<pair<int,int>> &st, int k) {
	return st.lower_bound({k, -1}) != st.upper_bound({k+1, -1});
}
 
void kick(int a, int b) {
	auto vec = out[F(a)][F(b)];
	for (auto [x, y] : vec) rm(x, y);
}
 
bool no_merge(int a, int b) {
	if (F(a) == F(b)) return true;
	// if a already connected to group(b), then nothing happen
	if (mcnt(in[F(b)][F(a)], a)) return true;
	if (out[F(b)][F(a)].empty()) return true;
	return false;
}
void add_edge(int a, int b) {
	if (F(a) == F(b)) return;
	// if a already connected to group(b), then nothing happen
	if (mcnt(in[F(b)][F(a)], a)) return;
	ad(a, b);
	if (out[F(b)][F(a)].empty()) return;
 
	a = F(a), b = F(b);
 
	if (cost[a] > cost[b]) swap(a, b);
	kick(a, b), kick(b, a);
 
	vector<pair<int,int>> kl;
	for (auto [_, vec] : in[a])
		for (auto p : vec) kl.pb(p);
		//kl.insert(end(kl), AI(vec));
	for (auto [_, vec] : out[a]) 
		for (auto p : vec) kl.pb(p);
		//kl.insert(end(kl), AI(vec));
 
	in[a].clear(), out[a].clear();
 
	for (auto [x, y] : kl) rm(x, y);
 
	ans += 2ll * sz[a] * sz[b] + 1ll * cntin[b] * sz[a];
 
	sz[b] += sz[a], g[a] = b;
 
  for (auto [x, y] : kl) add_edge(x, y);
}
 
int32_t main() {
	ios_base::sync_with_stdio(0), cin.tie(0);
	cin >> n >> m;
	init();
	while (m--) {
		int a, b;
		cin >> a >> b;
		add_edge(a, b);
		cout << ans << '\n';
   	}
}
# Verdict Execution time Memory Grader output
1 Correct 6 ms 9676 KB Output is correct
2 Correct 6 ms 9676 KB Output is correct
3 Correct 6 ms 9676 KB Output is correct
4 Correct 6 ms 9676 KB Output is correct
5 Correct 6 ms 9744 KB Output is correct
6 Correct 8 ms 9676 KB Output is correct
7 Correct 7 ms 9736 KB Output is correct
8 Correct 7 ms 9808 KB Output is correct
9 Correct 7 ms 9804 KB Output is correct
10 Correct 6 ms 9676 KB Output is correct
11 Correct 6 ms 9676 KB Output is correct
12 Correct 6 ms 9676 KB Output is correct
13 Correct 7 ms 9676 KB Output is correct
14 Correct 7 ms 9728 KB Output is correct
15 Correct 6 ms 9728 KB Output is correct
16 Correct 6 ms 9696 KB Output is correct
17 Correct 6 ms 9676 KB Output is correct
18 Correct 7 ms 9676 KB Output is correct
19 Correct 6 ms 9676 KB Output is correct
20 Correct 6 ms 9676 KB Output is correct
21 Correct 7 ms 9804 KB Output is correct
22 Correct 6 ms 9676 KB Output is correct
23 Correct 8 ms 9676 KB Output is correct
24 Correct 7 ms 9804 KB Output is correct
25 Correct 8 ms 9788 KB Output is correct
26 Correct 6 ms 9676 KB Output is correct
27 Correct 6 ms 9676 KB Output is correct
28 Correct 6 ms 9704 KB Output is correct
29 Correct 7 ms 9676 KB Output is correct
30 Correct 6 ms 9676 KB Output is correct
31 Correct 7 ms 9676 KB Output is correct
32 Correct 7 ms 9676 KB Output is correct
33 Correct 7 ms 9676 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 9676 KB Output is correct
2 Correct 6 ms 9676 KB Output is correct
3 Correct 6 ms 9676 KB Output is correct
4 Correct 6 ms 9676 KB Output is correct
5 Correct 6 ms 9744 KB Output is correct
6 Correct 8 ms 9676 KB Output is correct
7 Correct 7 ms 9736 KB Output is correct
8 Correct 7 ms 9808 KB Output is correct
9 Correct 7 ms 9804 KB Output is correct
10 Correct 6 ms 9676 KB Output is correct
11 Correct 6 ms 9676 KB Output is correct
12 Correct 6 ms 9676 KB Output is correct
13 Correct 7 ms 9676 KB Output is correct
14 Correct 7 ms 9728 KB Output is correct
15 Correct 6 ms 9728 KB Output is correct
16 Correct 6 ms 9696 KB Output is correct
17 Correct 6 ms 9676 KB Output is correct
18 Correct 7 ms 9676 KB Output is correct
19 Correct 6 ms 9676 KB Output is correct
20 Correct 6 ms 9676 KB Output is correct
21 Correct 7 ms 9804 KB Output is correct
22 Correct 6 ms 9676 KB Output is correct
23 Correct 8 ms 9676 KB Output is correct
24 Correct 7 ms 9804 KB Output is correct
25 Correct 8 ms 9788 KB Output is correct
26 Correct 6 ms 9676 KB Output is correct
27 Correct 6 ms 9676 KB Output is correct
28 Correct 6 ms 9704 KB Output is correct
29 Correct 7 ms 9676 KB Output is correct
30 Correct 6 ms 9676 KB Output is correct
31 Correct 7 ms 9676 KB Output is correct
32 Correct 7 ms 9676 KB Output is correct
33 Correct 7 ms 9676 KB Output is correct
34 Correct 10 ms 9932 KB Output is correct
35 Correct 129 ms 15680 KB Output is correct
36 Correct 200 ms 21696 KB Output is correct
37 Correct 203 ms 21952 KB Output is correct
38 Correct 181 ms 21000 KB Output is correct
39 Correct 12 ms 10164 KB Output is correct
40 Correct 11 ms 10316 KB Output is correct
41 Correct 11 ms 10308 KB Output is correct
42 Correct 10 ms 10112 KB Output is correct
43 Correct 11 ms 10316 KB Output is correct
44 Correct 11 ms 10300 KB Output is correct
45 Correct 12 ms 10188 KB Output is correct
46 Correct 13 ms 10128 KB Output is correct
47 Correct 14 ms 10316 KB Output is correct
48 Correct 12 ms 10308 KB Output is correct
49 Correct 25 ms 12532 KB Output is correct
50 Correct 167 ms 22336 KB Output is correct
51 Correct 21 ms 10912 KB Output is correct
52 Correct 130 ms 17580 KB Output is correct
53 Correct 22 ms 12204 KB Output is correct
54 Correct 143 ms 19824 KB Output is correct
55 Correct 16 ms 11340 KB Output is correct
56 Correct 16 ms 11364 KB Output is correct
57 Correct 15 ms 11340 KB Output is correct
58 Correct 18 ms 11396 KB Output is correct
59 Correct 9 ms 9932 KB Output is correct
60 Correct 105 ms 12284 KB Output is correct
61 Correct 13 ms 10444 KB Output is correct
62 Correct 159 ms 20636 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 9676 KB Output is correct
2 Correct 6 ms 9676 KB Output is correct
3 Correct 6 ms 9676 KB Output is correct
4 Correct 6 ms 9676 KB Output is correct
5 Correct 6 ms 9744 KB Output is correct
6 Correct 8 ms 9676 KB Output is correct
7 Correct 7 ms 9736 KB Output is correct
8 Correct 7 ms 9808 KB Output is correct
9 Correct 7 ms 9804 KB Output is correct
10 Correct 6 ms 9676 KB Output is correct
11 Correct 6 ms 9676 KB Output is correct
12 Correct 6 ms 9676 KB Output is correct
13 Correct 7 ms 9676 KB Output is correct
14 Correct 7 ms 9728 KB Output is correct
15 Correct 6 ms 9728 KB Output is correct
16 Correct 6 ms 9696 KB Output is correct
17 Correct 6 ms 9676 KB Output is correct
18 Correct 7 ms 9676 KB Output is correct
19 Correct 6 ms 9676 KB Output is correct
20 Correct 6 ms 9676 KB Output is correct
21 Correct 7 ms 9804 KB Output is correct
22 Correct 6 ms 9676 KB Output is correct
23 Correct 8 ms 9676 KB Output is correct
24 Correct 7 ms 9804 KB Output is correct
25 Correct 8 ms 9788 KB Output is correct
26 Correct 6 ms 9676 KB Output is correct
27 Correct 6 ms 9676 KB Output is correct
28 Correct 6 ms 9704 KB Output is correct
29 Correct 7 ms 9676 KB Output is correct
30 Correct 6 ms 9676 KB Output is correct
31 Correct 7 ms 9676 KB Output is correct
32 Correct 7 ms 9676 KB Output is correct
33 Correct 7 ms 9676 KB Output is correct
34 Correct 10 ms 9932 KB Output is correct
35 Correct 129 ms 15680 KB Output is correct
36 Correct 200 ms 21696 KB Output is correct
37 Correct 203 ms 21952 KB Output is correct
38 Correct 181 ms 21000 KB Output is correct
39 Correct 12 ms 10164 KB Output is correct
40 Correct 11 ms 10316 KB Output is correct
41 Correct 11 ms 10308 KB Output is correct
42 Correct 10 ms 10112 KB Output is correct
43 Correct 11 ms 10316 KB Output is correct
44 Correct 11 ms 10300 KB Output is correct
45 Correct 12 ms 10188 KB Output is correct
46 Correct 13 ms 10128 KB Output is correct
47 Correct 14 ms 10316 KB Output is correct
48 Correct 12 ms 10308 KB Output is correct
49 Correct 25 ms 12532 KB Output is correct
50 Correct 167 ms 22336 KB Output is correct
51 Correct 21 ms 10912 KB Output is correct
52 Correct 130 ms 17580 KB Output is correct
53 Correct 22 ms 12204 KB Output is correct
54 Correct 143 ms 19824 KB Output is correct
55 Correct 16 ms 11340 KB Output is correct
56 Correct 16 ms 11364 KB Output is correct
57 Correct 15 ms 11340 KB Output is correct
58 Correct 18 ms 11396 KB Output is correct
59 Correct 9 ms 9932 KB Output is correct
60 Correct 105 ms 12284 KB Output is correct
61 Correct 13 ms 10444 KB Output is correct
62 Correct 159 ms 20636 KB Output is correct
63 Correct 852 ms 126280 KB Output is correct
64 Correct 814 ms 126368 KB Output is correct
65 Correct 839 ms 126412 KB Output is correct
66 Correct 465 ms 32524 KB Output is correct
67 Correct 620 ms 39720 KB Output is correct
68 Correct 425 ms 32496 KB Output is correct
69 Correct 713 ms 39388 KB Output is correct
70 Correct 477 ms 32548 KB Output is correct
71 Correct 478 ms 32528 KB Output is correct
72 Correct 731 ms 40864 KB Output is correct
73 Correct 769 ms 40876 KB Output is correct
74 Correct 2050 ms 100928 KB Output is correct
75 Correct 992 ms 51828 KB Output is correct
76 Correct 1399 ms 77648 KB Output is correct
77 Correct 1466 ms 78120 KB Output is correct
78 Correct 420 ms 43928 KB Output is correct
79 Correct 721 ms 46716 KB Output is correct
80 Correct 392 ms 43768 KB Output is correct
81 Correct 612 ms 46080 KB Output is correct
82 Correct 1317 ms 93904 KB Output is correct
83 Correct 1431 ms 93988 KB Output is correct
84 Correct 1463 ms 92264 KB Output is correct
85 Correct 1364 ms 92272 KB Output is correct
86 Correct 248 ms 22332 KB Output is correct
87 Correct 282 ms 23364 KB Output is correct
88 Correct 854 ms 41056 KB Output is correct
89 Correct 1546 ms 73480 KB Output is correct